{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,12,5]],"date-time":"2024-12-05T23:10:12Z","timestamp":1733440212070,"version":"3.30.1"},"reference-count":15,"publisher":"Elsevier BV","issue":"11-13","license":[{"start":{"date-parts":[[1997,11,1]],"date-time":"1997-11-01T00:00:00Z","timestamp":878342400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Pattern Recognition Letters"],"published-print":{"date-parts":[[1997,11]]},"DOI":"10.1016\/s0167-8655(97)00096-2","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T23:20:02Z","timestamp":1027639202000},"page":"1317-1322","source":"Crossref","is-referenced-by-count":3,"title":["Mean field approach to learning in Boltzmann Machines"],"prefix":"10.1016","volume":"18","author":[{"given":"H.J.","family":"Kappen","sequence":"first","affiliation":[]},{"given":"F.B.","family":"Rodr\u0131\u0301guez","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0167-8655(97)00096-2_BIB1","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1207\/s15516709cog0901_7","article-title":"A learning algorithm for Boltzmann Machines","volume":"9","author":"Ackley","year":"1985","journal-title":"Cognitive Science"},{"key":"10.1016\/S0167-8655(97)00096-2_BIB2","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1016\/0004-3702(90)90060-D","article-title":"The computational complexity of probabilistic inferences","volume":"42","author":"Cooper","year":"1990","journal-title":"Artificial Intelligence"},{"key":"10.1016\/S0167-8655(97)00096-2_BIB3","doi-asserted-by":"crossref","first-page":"889","DOI":"10.1162\/neco.1995.7.5.889","article-title":"The Helmholtz Machine","volume":"7","author":"Dayan","year":"1995","journal-title":"Neural Computation"},{"key":"10.1016\/S0167-8655(97)00096-2_BIB4","doi-asserted-by":"crossref","first-page":"3171","DOI":"10.1103\/PhysRevE.50.3171","article-title":"Theory of correlations in stochastic neural networks","volume":"50","author":"Ginzburg","year":"1994","journal-title":"Physical Review E"},{"key":"10.1016\/S0167-8655(97)00096-2_BIB5","doi-asserted-by":"crossref","unstructured":"Hertz, J., Krogh, A., Palmer, R., 1991. Introduction to the Theory of Neural Computation, Santa Fe Institute, vol. 1. Addison-Wesley, Redwood City.","DOI":"10.1201\/9780429499661-1"},{"key":"10.1016\/S0167-8655(97)00096-2_BIB6","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1162\/neco.1989.1.1.143","article-title":"Deterministic Boltzmann learning performs steepest descent in weight-space","volume":"1","author":"Hinton","year":"1989","journal-title":"Neural Computation"},{"key":"10.1016\/S0167-8655(97)00096-2_BIB7","doi-asserted-by":"crossref","first-page":"1158","DOI":"10.1126\/science.7761831","article-title":"The \u201cWake-Sleep\u201d algorithm for unsupervised neural networks","volume":"268","author":"Hinton","year":"1995","journal-title":"Science"},{"key":"10.1016\/S0167-8655(97)00096-2_BIB8","doi-asserted-by":"crossref","unstructured":"Itzykson, C., Drouffe, J.-M., 1989. Statistical Field Theory. Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge, UK.","DOI":"10.1017\/CBO9780511622779"},{"key":"10.1016\/S0167-8655(97)00096-2_BIB9","doi-asserted-by":"crossref","first-page":"5849","DOI":"10.1103\/PhysRevE.55.5849","article-title":"Stimulus dependent correlations in stochastic networks","volume":"55","author":"Kappen","year":"1997","journal-title":"Physical Review E"},{"key":"10.1016\/S0167-8655(97)00096-2_BIB10","doi-asserted-by":"crossref","unstructured":"Kappen, H., Rodr\u00edguez, F., 1997. Efficient learning in Boltzmann Machines using linear response theory. Neural Comput.","DOI":"10.1007\/BFb0020171"},{"key":"10.1016\/S0167-8655(97)00096-2_BIB11","unstructured":"Kullback, S., 1959. Information Theory and Statistics. Wiley, New York."},{"key":"10.1016\/S0167-8655(97)00096-2_BIB12","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1111\/j.2517-6161.1988.tb01721.x","article-title":"Local computations with probabilities on graphical structures and their application to expert systems","volume":"50","author":"Lauritzen","year":"1988","journal-title":"J. Roy. Statist. Soc. B"},{"key":"10.1016\/S0167-8655(97)00096-2_BIB13","doi-asserted-by":"crossref","unstructured":"Parisi, G., 1988. Statistical Field Theory. Frontiers in Physics. Addison-Wesley, Reading, MA.","DOI":"10.1063\/1.2811677"},{"key":"10.1016\/S0167-8655(97)00096-2_BIB14","doi-asserted-by":"crossref","unstructured":"Pearl, J., 1988. Probabilistic reasoning in intelligent systems: Networks of Plausible Inference. Morgan Kaufmann, San Francisco, CA.","DOI":"10.1016\/B978-0-08-051489-5.50008-4"},{"key":"10.1016\/S0167-8655(97)00096-2_BIB15","first-page":"995","article-title":"A mean field theory learning algorithm for neural networks","volume":"1","author":"Peterson","year":"1987","journal-title":"Complex Systems"}],"container-title":["Pattern Recognition Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167865597000962?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167865597000962?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,12,5]],"date-time":"2024-12-05T22:28:11Z","timestamp":1733437691000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167865597000962"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,11]]},"references-count":15,"journal-issue":{"issue":"11-13","published-print":{"date-parts":[[1997,11]]}},"alternative-id":["S0167865597000962"],"URL":"https:\/\/doi.org\/10.1016\/s0167-8655(97)00096-2","relation":{},"ISSN":["0167-8655"],"issn-type":[{"type":"print","value":"0167-8655"}],"subject":[],"published":{"date-parts":[[1997,11]]}}}